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Finding the Fourth Proportional to 72,846.69, 100,543.40 and 45,971.16

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Solution

The fourth proportional to 72,846.69, 100,543.40 and 45,971.16 is: 63,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,846.69 : 100,543.40 = 45,971.16 : x
  2. Step 2: Convert to fraction form
    72,846.69/100,543.40 = 45,971.16/x
  3. Step 3: Cross multiply
    72,846.69x = 100,543.40 × 45,971.16
  4. Step 4: Simplify right side
    72,846.69x = 4,622,096,498.49
  5. Step 5: Solve for x
    x = 4,622,096,498.49/72,846.69
  6. Step 6: Final answer
    x = 63,449.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.